A particle moves in x-y plane according to the equation `vecr=(Asinomegat+Bcosomegat)(hati+hatj)` :

A particle moves in the x-y plane according to the equation, vecr=(hati+hatj)(A sin omegat+B cos omegat) . Motion of the particle is :

A particle moves in the x-y plane , accoding to the equation, r = (hati + 2hatj) A cos omegat . The motion of the particle is

A particle moves in the x-y plane , accoding to the equation, r = (hati + 2hatj) A cos omegat . The motion of the particle is

A particle moves in the x-y the accoding to the equation, r = (hati + 2hatj) A cos omegat . The motion of the particle is

The displacement of a particle varies with time according to the relation y=asinomegat+bcosomegat .

Position vectors of a particle moving in xy plane at time t is vecr=a(1-cos ometat)hati+asin omegat hatj . The path of the particle is

Show that the equation x=asinomegat+bcosomegat represents a simple harmonic motion.